Business Statistics and Research Methods MCQs with Answers 2027

Q1

The law of statistics, which says "Moderately large number of items chosen at random from a large group possess the characteristics of the large group", is referred to as

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Q2

Open question

The difference between sample statistic and its corresponding population parameter is

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Q3

Open question

Assertion (A): If regression coefficient of X on Y is greater than one, regression coefficient of Y on X must be less than one.
Reason (R): The geometric mean between two regression coefficients is the coefficient of correlation.

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Q4

Open question

If in Binomial distribution mean is 10 and standard deviation 2, q will be

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Q5

Open question

Consider the following statements:
1. Quartile deviations is more instructive range as it discards the dispersion of extreme items
2. Coefficient of quartile deviaton cannot be used to compare the degree of variations in different distributions
3. There are 10 deciles for a series
Which one of the above statements is/are correct?

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Q6

Open question

Assertion (A): A reasonably sized sample drawn randomly from large sized population contains almost all the characteristics which exist in the population.
Reason (R): The theory of sampling is based on the two important laws of statistics, viz law of statistical regularity and law of inertia of large numbers.

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Q7

Open question

The regression equation of profits (X) on sales (Y) of a firm is given as: 3Y - 5X + 10 = 0. If the sales of the firm is Rs. 44,000, the profit will be

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Q8

Open question

Assignment of numerals to the objects to represent their attributes is known as

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Q9

Open question

A graph of a cumulative frequency distribution is called

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Q10

Open question

Match the following in the term of Terms and Explanation:

List-I (Terms)	List-II (Explanation)
a. $\frac{Z ^{2} \cdot σ _{p}^{2}}{e ^{2}}$	1. Measurement for Kurtosis
b. $\frac{X _{1} - X _{2}}{σ _{p}^{2} ( \frac{1}{n _{1}} + \frac{1}{n _{2}} )}$	2. Calculated value of $F$ ratio
c. $\frac{μ _{4}}{μ _{2}^{2}}$	3. Statistical approach to find out the size of sample
d. $\frac{σ _{s_{1}}^{2}}{σ _{s_{2}}^{2}}$	4. Calculated $z$ value of mean differences

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Q11

Open question

The under root of two . . . . . . . . coefficients gives us the value of correlation coefficients.

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Q12

Open question

Among the following choose the most suitable 'test' that can be applied to examine the influence of one factor on different groups.

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Q13

Open question

Consider the following statement and identify the wrong statements.
Statement I: Accepting null hypothesis, when it is false, is called a level of significance.
Statement II:

1 - α

is called power of a test.
Statement III: Critical value of

Z

- static for two-tailed test at 5% level of significance is 1.96.

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Q14

Open question

In case of conditional probability (A and B) = ?

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Q15

Open question

In a predominantly illiterate area consisting of 10,000 population, data has to be collected from 10% of them. The appropriate technique for data collection would be

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Q16

Open question

Which one of the following formulas is used to calculate the standard error of coefficient of correlation between 25 paired observations of a sample?